Description of Uncertain Structural Parameters as Fuzzy Random Variables

Structural parameters that possess the uncertainty characteristic fuzzy randomness are modeled as fuzzy random variables [119, 124]. For each fuzzy random variable it is necessary to generate the fuzzy probability distribution function, the fuzzy probability density function, and the associated fuzzy parameters on the basis of limited statistical data material. The data material possesses stochastic and nonstochastic properties, the latter resulting in particular from informal uncertainty or uncertainty due to fluctuating reproduction conditions.